There being no need to secure an actuary's report on the condition of the city's firemen's pension fund unless its condition appears to show no need for the mandatory levy of one mill; there would be no occasion to incur such expense of the report, hence your question would not arise.
When the amount of the mandatory one mill levy prescribed by chapter 72, Laws of 1951 (RCW 41.16.060), together with the other estimated income, is insufficient to meet the estimated requirements of a city's firemen's pension fund, the city is authorized to levy an additional tax not to exceed one mill, to meet such estimated requirements. Such additional one mill may exceed the city fifteen mill levy limit, thereby making a total maximum city levy of sixteen mills for all purposes.